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Convolution of independent random variables
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Mathematics
Area of mathematics
Probability and statistics
Probability theory
Probability distribution
Joint probability distribution
2026-09-28
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If independent real
random variables
X
and
Y
have
densities
f
X
and
f
Y
, their
sum
has the
convolution
density
f
X
+
Y
(
z
)
=
(
f
X
∗
f
Y
)
(
z
)
=
∫
−
∞
∞
f
X
(
x
)
f
Y
(
z
−
x
)
d
x
.
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(7)
Joint probability distribution
Probability distribution
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 219
/
4
/
a
/
iii
/
Solution
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